A halfspace theorem for mean curvature H=1/2 surfaces in H2 x R

被引：11
|
作者：
Nelli, Barbara [2 ]
Earp, Ricardo Sa [1 ]
机构：
[1] Pontificia Univ Catolica Rio de Janeiro, Rio De Janeiro, Brazil
[2] Univ Aquila, I-67100 Laquila, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期
关键词：
Second order elliptic equation; Maximum principle; Vertical end; Mean curvature; Halfspace theorem; SCREW MOTION SURFACES;
D O I：
10.1016/j.jmaa.2009.10.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a vertical halfspace theorem for surfaces with constant mean curvature H = 1/2, properly immersed in the product space H-2 x R, where H-2 is the hyperbolic plane and R is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of noncompact rotational H = 1/2 surfaces in H-2 x R. (c) 2009 Elsevier Inc. All rights reserved.
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页码：167 / 170
页数：4
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